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Finding the Fourth Proportional to 336,960, 505,469.16 and 87,642

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Solution

The fourth proportional to 336,960, 505,469.16 and 87,642 is: 131,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,960 : 505,469.16 = 87,642 : x
  2. Step 2: Convert to fraction form
    336,960/505,469.16 = 87,642/x
  3. Step 3: Cross multiply
    336,960x = 505,469.16 × 87,642
  4. Step 4: Simplify right side
    336,960x = 44,300,328,120.72
  5. Step 5: Solve for x
    x = 44,300,328,120.72/336,960
  6. Step 6: Final answer
    x = 131,470.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.